Thermal Conductivity of Material Required to Maintain Given Temperature Difference Solution

STEP 0: Pre-Calculation Summary
Formula Used
Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall)
k = (Q*L)/((Ti-To)*Awall)
This formula uses 6 Variables
Variables Used
Thermal Conductivity - (Measured in Watt per Meter per K) - Thermal Conductivity is rate of heat passes through specified material, expressed as amount of heat flows per unit time through a unit area with a temperature gradient of one degree per unit distance.
Heat Flow Rate - (Measured in Watt) - Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Inner Surface Temperature - (Measured in Kelvin) - Inner Surface Temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc).
Outer Surface Temperature - (Measured in Kelvin) - Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc.
Area of Wall - (Measured in Square Meter) - Area of Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.
STEP 1: Convert Input(s) to Base Unit
Heat Flow Rate: 125 Watt --> 125 Watt No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Inner Surface Temperature: 400.75 Kelvin --> 400.75 Kelvin No Conversion Required
Outer Surface Temperature: 400 Kelvin --> 400 Kelvin No Conversion Required
Area of Wall: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = (Q*L)/((Ti-To)*Awall) --> (125*3)/((400.75-400)*50)
Evaluating ... ...
k = 10
STEP 3: Convert Result to Output's Unit
10 Watt per Meter per K --> No Conversion Required
FINAL ANSWER
10 Watt per Meter per K <-- Thermal Conductivity
(Calculation completed in 00.004 seconds)

Credits

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!
Verified by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has verified this Calculator and 100+ more calculators!

8 Conduction in Plane Wall Calculators

Total Thermal Resistance of Plane Wall with Convection on Both Sides
Go Thermal Resistance with Convection = 1/(Inside Convection*Area of Wall)+Length/(Thermal Conductivity*Area of Wall)+1/(External Convection*Area of Wall)
Temperature at Distance x from Inner Surface in Wall
Go Temperature = Inner Surface Temperature-Distance from Inner Surface/Length*(Inner Surface Temperature-Outer Surface Temperature)
Thermal Conductivity of Material Required to Maintain Given Temperature Difference
Go Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall)
Area of Plane Wall Required for Given Temperature Difference
Go Area of Wall = (Heat Flow Rate*Length)/(Thermal Conductivity*(Inner Surface Temperature-Outer Surface Temperature))
Outer Surface Temperature of Wall in Conduction through Wall
Go Outer Surface Temperature = Inner Surface Temperature-(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)
Thickness of Plane Wall for Conduction through Wall
Go Length = ((Inner Surface Temperature-Outer Surface Temperature)*Thermal Conductivity*Area of Wall)/Heat Flow Rate
Inner Surface Temperature of Plane Wall
Go Inner Surface Temperature = Outer Surface Temperature+(Heat Flow Rate*Length)/(Thermal Conductivity*Area of Wall)
Thermal Resistance of Wall
Go Thermal Resistance = Length/(Thermal Conductivity*Cross-Sectional Area)

Thermal Conductivity of Material Required to Maintain Given Temperature Difference Formula

Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall)
k = (Q*L)/((Ti-To)*Awall)

what is thermal conductivity?

Thermal conductivity can be defined as the rate at which heat is transferred by conduction through a unit cross-section area of a material when a temperature gradient exists perpendicular to the area.

How to Calculate Thermal Conductivity of Material Required to Maintain Given Temperature Difference?

Thermal Conductivity of Material Required to Maintain Given Temperature Difference calculator uses Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall) to calculate the Thermal Conductivity, The Thermal conductivity of material required to maintain given temperature difference formula is defined as the thermal conductivity of the material required to maintain a given temperature when heat flows at a given rate through its area and for a given length. Thermal Conductivity is denoted by k symbol.

How to calculate Thermal Conductivity of Material Required to Maintain Given Temperature Difference using this online calculator? To use this online calculator for Thermal Conductivity of Material Required to Maintain Given Temperature Difference, enter Heat Flow Rate (Q), Length (L), Inner Surface Temperature (Ti), Outer Surface Temperature (To) & Area of Wall (Awall) and hit the calculate button. Here is how the Thermal Conductivity of Material Required to Maintain Given Temperature Difference calculation can be explained with given input values -> 0.1875 = (125*3)/((400.75-400)*50).

FAQ

What is Thermal Conductivity of Material Required to Maintain Given Temperature Difference?
The Thermal conductivity of material required to maintain given temperature difference formula is defined as the thermal conductivity of the material required to maintain a given temperature when heat flows at a given rate through its area and for a given length and is represented as k = (Q*L)/((Ti-To)*Awall) or Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall). Heat Flow Rate is the amount of heat that is transferred per unit of time in some material, usually measured in watt. Heat is the flow of thermal energy driven by thermal non-equilibrium, Length is the measurement or extent of something from end to end, Inner Surface Temperature is the temperature at the inner surface of the wall (either plane wall or cylindrical wall or spherical wall, etc), Outer Surface Temperature is the temperature at the outer surface of the wall either plane wall or cylindrical wall or spherical wall, etc & Area of Wall refers to the surface area of the wall, which is the total amount of space that it occupies. It is typically measured in square units such as square feet or square meters.
How to calculate Thermal Conductivity of Material Required to Maintain Given Temperature Difference?
The Thermal conductivity of material required to maintain given temperature difference formula is defined as the thermal conductivity of the material required to maintain a given temperature when heat flows at a given rate through its area and for a given length is calculated using Thermal Conductivity = (Heat Flow Rate*Length)/((Inner Surface Temperature-Outer Surface Temperature)*Area of Wall). To calculate Thermal Conductivity of Material Required to Maintain Given Temperature Difference, you need Heat Flow Rate (Q), Length (L), Inner Surface Temperature (Ti), Outer Surface Temperature (To) & Area of Wall (Awall). With our tool, you need to enter the respective value for Heat Flow Rate, Length, Inner Surface Temperature, Outer Surface Temperature & Area of Wall and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!